Non Abelian Bosonization in Two and Three Dimensions
High Energy Physics - Theory
2009-10-30 v2
Abstract
We discuss non-Abelian bosonization of two and three dimensional fermions using a path-integral framework in which the bosonic action follows from the evaluation of the fermion determinant for the Dirac operator in the presence of a vector field. This naturally leads to the Wess-Zumino-Witten action for massless two-dimensional fermions and to a Chern-Simons action for very massive three dimensional fermions. One advantage of our approach is that it allows to derive the exact bosonization recipe for fermion currents in a systematic way.
Cite
@article{arxiv.hep-th/9609202,
title = {Non Abelian Bosonization in Two and Three Dimensions},
author = {J. C. Le Guillou and E. Moreno and C. Nunez and F. A. Schaposnik},
journal= {arXiv preprint arXiv:hep-th/9609202},
year = {2009}
}
Comments
21 pages, LaTex, no figures. Several changes, version to appear in Nuc. Phys. B